Question

Joan had 1202 more red buttons than yellow buttons. After she gave away 5233 yellow buttons,she had 4times as many red buttons as yellow buttons. How many yellow buttons did joan have in the end

Answer 1

Answer:

2145

Step-by-step explanation:

Let the number of red buttons be x

Let the number of yellow buttons be y

According to first condition:

x-y=1202    -1

According to second condition:

The number of yellow buttons now is y-5233

x=4(y-5233)    -2

Subtituting equation 2 in 1, we get:

4(y-5233) -y = 1202

4y-20932-y = 1202

3y-20932 = 1202

3y = 1202+20932

3y=22134

y=22134/3

y=7378

The number of yellow buttons in the end is:

y-5233

Substituting value of y in the above equation:

7378-5233=2145

Hence the number of yellow buttons joan has in the end is 2145